Robust Control for a Kind of Uncertain Nonlinear Descriptor Systems with Time Delays

The uncertain nonlinear descriptor systems with multiple time delays in system state and control are studied. The systems not only contain uncertainties, but also experience uncertainties in the input channels. The condition for robust stabilizable independent of delay of this kind of systems is presented by using Lyapunov methods. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is put forward here.